There's still the 4 shoulder buttons AND two more buttons on each underside of the controller.
Those two buttons being to the left and right of the steam symbol on the right picture.
So that's eight buttons all together you can press WITHOUT moving your thumbs off the touch pads. Then you have the a, b, x, and y buttons. ON TOP OF ALL OF THAT is a touch pad that can be customized to your or the game creator's like.